Logarithmic cohomological field theories
Algebraic Geometry
2025-06-26 v3
Abstract
We introduce a new logarithmic structure on the moduli stack of stable curves, admitting logarithmic gluing maps. Using this we define cohomological field theories taking values in the logarithmic Chow cohomology ring, a refinement of the usual notion of a cohomological field theory. We realise the double ramification cycle as a partial logarithmic cohomological field theory.
Keywords
Cite
@article{arxiv.2308.01099,
title = {Logarithmic cohomological field theories},
author = {David Holmes and Pim Spelier},
journal= {arXiv preprint arXiv:2308.01099},
year = {2025}
}
Comments
42 pages. v3: introduction partially rewritten. Comments still very welcome!